On intervened negative binomial distribution and some of its properties


  • C. Satheesh Kumar University of Kerala, Trivandrum
  • S. Sreejakumari Government College, Trivandrum




Here we develop a new class of discrete distribution namely intervened negative binomial distribution and derive its probability generating function, mean, variance and an expression for its factorial moments. Estimation of the parameters of the distribution is described and the distribution has been fitted to a well known data set.


A. A. BARTOLUCCI, R. SHANMUGAM, K. P. SINGH (2001), Developments of the generalized geometric model with application to cardiovascular studies, “System Analysis Modeling Simulation”, 41, pp. 339-349.

P. DHANAVANTHAN (1998), Compound intervened Poisson distribution, “Biometrical Journal”, 40, pp. 641-646.

P. DHANAVANTHAN (2000), Estimation of the parameters of compound intervened Poisson distribution, “Biometrical Journal”, 42, pp. 315-320.

M. HUANG, K.Y. FUNG (1989), Intervened truncated Poisson distribution, “Sankhya”, Series B, 51, pp. 302-310.

N. L. JOHNSON, A.W. KEMP, S. KOTZ (2005), Univariate Discrete Distributions, John Wiley and Sons, New York.

M.G. KENDAL (1961), Natural law in Science, “Journal of Royal Statistical Society”, Series. A, 124, pp. 1-18.

C.S. KUMAR, D.S. SHIBU (2011), Modified intervened Poisson distribution, “Statistica”, 71, pp. 489-499.

D.P.M. SCOLLNIK (2006), On the intervened generalized Poisson distribution, “Communication in Statistics-Theory and Methods”, 35, pp. 953-963.

R. SHANMUGAM (1985), An intervened Poisson distribution and its medical application, “Biometrics”, 41, pp. 1025-1029.

R. SHANMUGAM (1992), An inferential procedure for the Poisson intervention parameter, “Biometrics”, 48, pp. 559-565.




How to Cite

Satheesh Kumar, C., & Sreejakumari, S. (2012). On intervened negative binomial distribution and some of its properties. Statistica, 72(4), 395–404. https://doi.org/10.6092/issn.1973-2201/3654